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Finding the Fourth Proportional to 10,245.76, 15,374.75 and 5,315.36

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Solution

The fourth proportional to 10,245.76, 15,374.75 and 5,315.36 is: 7,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.76 : 15,374.75 = 5,315.36 : x
  2. Step 2: Convert to fraction form
    10,245.76/15,374.75 = 5,315.36/x
  3. Step 3: Cross multiply
    10,245.76x = 15,374.75 × 5,315.36
  4. Step 4: Simplify right side
    10,245.76x = 81,722,227.71
  5. Step 5: Solve for x
    x = 81,722,227.71/10,245.76
  6. Step 6: Final answer
    x = 7,976.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.